Cobos Díaz, FernandoDomínguez Bonilla, Óscar2023-06-192023-06-19201510695869http//.dx.doi.org/10.1007/s00041-015-9454-6https://hdl.handle.net/20.500.14352/35027Using limiting interpolation techniques we study the elationship between Besov spaces B0,−1/q p,q with zero classical smoothness and logarithmic smoothness −1/q defined by means of differences with similar spaces 0,b,d p,q defined by means of the Fourier transform. Among other things, we prove that B0,−1/2 2,2 = B0,0,1/2 2,2 . We also derive several results on periodic spaces B0,−1/q p,q (T), including embeddings in generalized Lorentz–Zygmund spaces and the distribution of Fourier coefficients of functions of B0,−1/q p,q (T).engjournal articlerestricted access517.98Besov spacesLogarithmic smoothnessLimiting interpolation spacesFourier coefficientsLorentz–Zygmund spacesAnálisis funcional y teoría de operadores